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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
we have already shown
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "we have already shown" is correct and usable in written English.
It can be used when referring back to information or evidence that has been previously presented in a discussion or argument. Example: "In our earlier analysis, we have already shown that the data supports our hypothesis."
✓ Grammatically correct
Science
News & Media
Academia
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
But we have already shown that this is impossible.
We have already shown earlier [Werth, R., & Moehrenschlager, M. (1999).
Science
We have already shown that we can effect local political change.
News & Media
We have already shown that this government's excesses can be curbed by a determined opposition.
News & Media
But this is impossible, because, as we have already shown, infinite weight and lightness do not exist.
"We have already shown our strength to the government," the union said in a statement on its website.
News & Media
"We have already shown our capacity to launch attacks on the British military, judicial, and policing infrastructure.
News & Media
For, if it is indeterminate, the movement within it will be infinite; and that we have already shown to be an impossibility.
Now, we have already shown that P(N|F&L;) << 1, and the "main theorem" says that P(N|L) < P(N|F&L;).
By offering a new package to the five plus one, we have already shown our determination and seriousness for constructive cooperation.
News & Media
"We have already shown in our actions - and not words - that our stadium is sacrosanct.
News & Media
Expert writing Tips
Best practice
Use "we have already shown" to refer back to specific data or arguments previously presented in your writing. This creates a cohesive and logical flow.
Common error
Avoid starting multiple consecutive sentences or paragraphs with "we have already shown". Vary your sentence structure to maintain reader engagement.
Source & Trust
87%
Authority and reliability
4.6/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "we have already shown" functions as an explicit reference to previously presented information, acting as a cohesive device to link ideas within a text. As Ludwig AI highlights, it's a valid and usable construction.
Frequent in
Science
48%
News & Media
29%
Academia
14%
Less common in
Formal & Business
9%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, the phrase "we have already shown" is a grammatically sound and commonly used construction, as confirmed by Ludwig AI. It serves to reference previously presented information, strengthening arguments and creating cohesion. Its prevalence in scientific, academic, and news contexts indicates a formal to neutral register. While effective, avoid overuse to maintain reader engagement. Consider alternatives such as "we have previously demonstrated" or "as demonstrated earlier" for variety.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
we've already established
Replaces 'shown' with 'established', which is a good alternative.
we have already made clear
Uses the phrase 'made clear' to convey that information has already been clarified.
as we've previously pointed out
Changes the tense and voice slightly, emphasizing a previous act of pointing something out.
as demonstrated earlier
This is a formal way to reference previously demonstrated information.
we've demonstrated before
Uses "demonstrated" instead of "shown", implying a more formal presentation of evidence.
previously, we have indicated
This uses 'indicated' as a substitute for 'shown', suggesting an indirect demonstration.
it has been previously established that
Shifts to a more passive and formal construction, highlighting the established nature of the information.
our prior research has revealed
This phrase focuses on research findings and uses 'revealed' instead of 'shown'.
we have proven in the past
Replaces "shown" with "proven", suggesting a higher degree of certainty.
earlier, we established
Simplifies the phrase, placing emphasis on the temporal aspect of the previous establishment.
FAQs
How can I use "we have already shown" in a sentence?
Use "we have already shown" to refer to information, results, or arguments that you've presented earlier in your text. For instance, "In the previous section, "we have already shown" that increased investment leads to higher returns".
What are some alternatives to "we have already shown"?
You can use alternatives like "we have previously demonstrated", "as we have already mentioned", or "we have already established" depending on the context.
Is it redundant to say "we have already shown"?
While "we have already shown" is generally acceptable, ensure that you're not overusing it. If the information is immediately obvious or was presented very recently, consider rephrasing for conciseness.
What's the difference between "we have already shown" and "we will show"?
"We have already shown" refers to something that has been presented earlier. "We will show" indicates something that will be presented later. For example, "We have already shown the benefits of this approach; now "we will show" how to implement it".
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
87%
Authority and reliability
4.6/5
Expert rating
Real-world application tested